Abstract
With the development of the holographic printer, printing synthetic hologram requires smaller holographic element (hogel) size to improve spatial resolution of the reconstruction. On the contrary, a larger hogel size affords higher angular resolution, but it leads to a lower lateral resolution and there exists a trade-off problem. In this paper, a hologram synthesis method based on three-dimensional (3D) rendering of computer-generated holographic stereogram (HS) is proposed to limit the spatial-angular trade-off problem. The perspectives of the 3D scene are captured by re-centering the camera method and transformed into parallax-related images by a proposed pixel re-arrangement algorithm for holographic printing. Unlike the conventional approaches, the proposed algorithm not only improves the angular resolution of the reconstruction while maintaining the hogel size fixed, but also keeps the spatial resolution without degradation. The effectiveness of the proposed method is verified by numerical simulation and an optical experiment.
Highlights
Holography is a two-step technique that records and reconstructs the intensity and phase information of a wavefront scattered from a three-dimensional (3D) object [1,2,3]
We present an efficient hologram synthesis method based on 3D rendering of computer-generated holographic stereogram (HS) by a pixel re-arrangement algorithm to limit the trade-off problem between spatial-angular resolution of the reconstruction
Indexes of captured images and the resolution of a corresponding hogel is shown in numerical value and it was assumed that the hologram plane was synthesised from 50 × 50 hogels for both methods
Summary
Holography is a two-step technique that records and reconstructs the intensity and phase information of a wavefront scattered from a three-dimensional (3D) object [1,2,3]. For the hogel-based approaches, hogel images are usually re-arranged by a conventional pixel re-arrangement algorithm, which was proposed by Bjelkhagen and Brotherton [15] One drawback of this pixel re-arrangement technique is that there exists a trade-off problem between spatial-angular resolution of the reconstructed HS. We present an efficient hologram synthesis method based on 3D rendering of computer-generated HSs by a pixel re-arrangement algorithm to limit the trade-off problem between spatial-angular resolution of the reconstruction. This novel method improves the angular resolution of HS without increasing the hogel size, while keeping the spatial resolution without degradation.
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